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umka2103 [35]
3 years ago
9

Point R′ (−2, 8) is the image of point R (−2, 2). Which of the following algebraic representations could be used for that transf

ormation?
Select one:

(x,y)→(−x,y)

(x,y)→(4x,4y)

(x,y)→(x,y+6)

(x,y)→(x+6,y)
Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

C) (x,y) → (x,y+6)

Step-by-step explanation:

As the x value stays the same after the transformation, we know that there can be no changes to the value x, automatically limiting the options to answer C.

The mathematical way to find the value y is changed by would be by setting up a small equation as follows:

8 = 2 + n, where n is some number that the y value is altered by.

Solving for n gives the value 6, proving that the translation must add 6 to the y value.

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Given A(3, 4), B(4, 3) and C(2, 1), what are the coordinates of C', the image of C under a rotation of 90 degrees about the orig
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<u>Given</u>:

The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)

The points are rotated 90° about the origin.

We need to determine the coordinates of the point C'.

<u>Coordinates of the point C':</u>

The general rule to rotate the point 90° about the origin is given by

(x, y) \Rightarrow(-y, x)

Substituting the coordinates of the point C in the above formula, we get;

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7 0
3 years ago
I need help, pls and thx
Sauron [17]

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

  • \Delta = (-2)^2 - 4(5)(7) = 144
  • x_1 = \frac{2 + \sqrt{144}}{10} = \frac{7}{5}
  • x_2 = \frac{2 - \sqrt{144}}{10} = -1

The solutions are:

x = -1, x = 7/5

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

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2 years ago
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